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Finding the Fourth Proportional to 163.36, 225.38 and 105.04

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Solution

The fourth proportional to 163.36, 225.38 and 105.04 is: 144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.36 : 225.38 = 105.04 : x
  2. Step 2: Convert to fraction form
    163.36/225.38 = 105.04/x
  3. Step 3: Cross multiply
    163.36x = 225.38 × 105.04
  4. Step 4: Simplify right side
    163.36x = 23,673.92
  5. Step 5: Solve for x
    x = 23,673.92/163.36
  6. Step 6: Final answer
    x = 144.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.